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image/svg+xml Teaching

As part as my PhD contract, I carried out 2 teaching assignments of 32h "équivalent TD" inside the département histoire et philosophie des sciences of the Université Paris Cité, from 2024 to 2026. During this assignment, I got to take part into multiple teaching activities, including tutorial classes, or the organisation of the human sciences exam for the specific access pathway year for health training programs (PASS). But I mostly assumed full lectures for the master histoire et philosophie des sciencesmaster, on the following topics.

History of Algebra
  • (2025–2026, 2×3h CM, M1, SB) Introduction à lʼhistoire des mathématiques

    These two sessions of introduction to the history of mathematics were part of a larger class for the first year of the master's program. The first of the two took dealt with a controversy around the interpretation of Old Babylonian tablets, and used this as an opportunity to present the problems related to the edition of the texts, and the importance of archaeological contexts to understand the mathematical content of the text. The following session took this as a starting point to explore further the reconstitution of mathematical practices from texts in Chinese and in Sanskrit.

  • (2024–2025, 7×3h CM, M2, SC) Histoire des mathématiques

    This whole semester class dealt with the History of Algebra. I was in charge for the first half of the semester, which dealt with everything from Antiquity until the Modern Period (c. 17th century). My part of the class was organised around the reading of sources in their original language (Akkadian, Chinese, Sansirkt, Arabic, Latin, French and German). These texts were selected as an opportunity to talk about issues of method, regarding how to deal with the archaeological context of the sources, the stakes related to the methods of edition, the way texts are read, and so on.

History of Computations in Astronomy

This session was part of a larger class dedicated to the topic of "Numbers and Magnitudes". The goal for this session was to show how sources related to the History of Astronomy could be used to study such a theme. I composed the lesson around a collection of documents from different periods and in different languages, which constituded multiple case studies. Students could then choose to write their final essay on an article which allowed them to dive deeper into one of the topics explored in the class.

Sciences as seen from Asia
  • (2025–2026, 1×3h CM, M1, SA) History of mathematics in South Asia

    I made this session in coordination with Haolin Wang 王浩霖 and Taro Tokutake 徳武 太郎. We presented an overview of multiple mathematical problems dealt in Sanskrit texts.

  • (2024–2025, 1×3h CM, M1, SA) Sciences in Mesopotamia

    This class, made with Adeline Reynaud, was a general introduction to the history of sciences in the Ancient Middle East. It was composed around four themes: divination, medicine, mathematics and astronomy. These were used as case studies to explore the broader methodological question of characterising the role of "sciences" in ancient sources.

image/svg+xml Scientific animations

2019-2023: Planète Sciences, Scientific animator

I helped children from 6 to 12 years old to perform experiments in extracurricular or leisure animations, or in public forums.

  • Building and programming robots and electronic circuits.
  • Experimenting around the notions of motion and mechanics.
  • Building rockets and performing games around space exploration.

2018-2019: Institut Henri Poincaré, Scientific animator
  • Guided visits for a temporary exposition in the Musée national des arts et métiers about mathematical surfaces, for classes from middle school to the master degree. These animations especially enabled the public to discover different fields of applied mathematics, and to answer students' questions about the prospects of mathematical studies.
  • Animation of augmented reality activities prepared by the company Holomath about Brownian motion during multiple events.

image/svg+xml Other dissemination activities

Publications

Clément Cartier, "Déchiffrez des tables du xiiie siècle !". Découverte n°452, 2026

How many days are there between two given dates? To answer this question, Parisian scholars from the end of the 13th century used different numerical tables, for which multiple algorithms has been written down. By studying these texts, we learn more about the way computations were carried out at that time.


Maxime Berger, Clément Cartier, Frédéric Jaëck, Bernard Lemaire, Édouard Thomas, "D'une forme à l'autre: jouer avec les polygones" in Marie José Pestel & Édouard Thomas (eds.), Maths en pleine forme. Express. Paris: Comité international de la culture et des jeux mathématiques. 2022

This article presents the Wallace-Bolyai-Gerwein theorem, proving that if two polygons have the same surface, there is at least a finite collection of polygons that is a decomposition of both of them.


Maxime Berger, Clément Cartier, Frédéric Jaëck, Bernard Lemaire, Édouard Thomas, "Dissections de polygones avec Morceaux choisis de géométrie" in Marie José Pestel & Édouard Thomas (eds.), Maths en pleine forme. Express. Paris: Comité international de la culture et des jeux mathématiques. 2022

This article presents the project of an application developed by the authors to explore different geometric activities related to polygons, especially by exploiting the Wallace-Bolyai-Gerwein theorem on equidecomposability of polygons of same area.


Clément Cartier, "Les mathématiques de l'apprentissage" in Marie José Pestel & Édouard Thomas (eds.), Les maths? Oui, ça sert! Express. Paris: Comité international de la culture et des jeux mathématiques. 2020

This article is meant to be an introduction to statistical methods of automatic learning in artificial intelligence.

Talks

Isabelle Gallagher, Adrian Daerr, Turbulences. Entre Mathématiques et Physique: Conférence dans l'œil du cyclone. Paris: MathRix P7 et Phisis7, Thursday, January 26, 2017.
Animation of a conference-duel between Mathematics and Physics about Navier-Stockes equations.